Psychometrics/testing Flashcards
four levels of measurement
nominal, ordinal, interval, ratio
nominal
categories- male/female
ordinal
ranks – 1st, 2nd, 3rd
interval
quantitative scores which tells relative rank and how far apart- GPA, IQ
ratio
has an absolute zero – temperature, time, length
mean
average (M)
median
middle number
mode
most frequent/common number
range
highest and lowest scores
-Do the scores cluster close to the mean or are they spread out?
variance
the average squared deviation from the mean; difference b/w each score and the mean, square the difference, taking average of the squares obtained
see equation
standard deviation
square route of the variance = variability of a distribution (s)
SD = √ variance
positive skew
inadequate floor, too HARD; to left
negative skew
inadequate ceiling, too EASY; to right
kurtosis
distribution that is flat or peaked at the top
platykurtic
flat top (flat like a plate)
leptokurtic
pointy on top (leap into the air!)
normal distribution
What % obtain above 1 SD:
-50% fall at or below mean
-½ of 68% = 34% score between mean and 1 SD
-THUS- 50% + 34% = 84% score below 1 SD
-100%- 84% = 16% score higher than 1 SD above mean
68% within 1 SD; 95% within 2 SD; 99% within 3 SD
see picture of normal distribution
developmental norms
norms that are based off of developmental milestones (i.e. grade or age)
-Used on tests of intellectual ability or academic achievement where skill being measured is thought to develop over time. i.e. WIAT
within group norms
how an examinee preformed relative to the norm group- same age, gender, etc.
-Use of within group norms is better to interpret tests because developmental norms can be easily misinterpreted.
types of within group norms
percentile rank, standard scores, z score, t score
percentile rank
what % of the normative sample obtained scores equal to or lower than that of the examinee
-Calculated directly from frequency distribution
standard scores
uses means and SD to transform a raw score into a new score to tell us where examine scores relative to their peers
-To obtain a standard score, convert the Z score to a scale with a mean or 100 and SD of 15
-SS = 15 Z + 100
-Used on IQ and achievement testing
-Mean of 100 and stdev of 15
z score
measures how far from mean the examine scored in units of standard deviation
-Subtract mean from raw score, divide score by standard deviation
t score
linear transformation of the Z score
- Multiply z score by 10 and add 50
-T = 10z + 50
-Used on MMPI
-Mean of 50 and Sd of 10